{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Using Pyndamics to Simulate Dynamical Systems\n",
      "\n",
      "Pyndamics provides a way to describe a dynamical system in terms of the differential equations, or the stock-flow formalism. It is a wrapper around the Scipy odeint function, with further functionality for time plots, phase plots, and vector fields.\n",
      "\n",
      "Page for this package: [https://code.google.com/p/pyndamics/](https://code.google.com/p/pyndamics/)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from pyndamics import Simulation"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Population of Mice - Exponential Growth\n",
      "\n",
      "### Specifying the Differential Equation"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sim=Simulation()   # get a simulation object\n",
      "\n",
      "sim.add(\"mice'=b*mice - d*mice\",    # the equations\n",
      "    100,                            # initial value\n",
      "    plot=True)                      # display a plot\n",
      "\n",
      "sim.params(b=1.1,d=0.08)\n",
      "\n",
      "sim.run(0,4)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Cpk6dqpYtWyojI0MlJSWaP3++vvnmG02fPl3jxo3zOb6kpESDBw9WTk6OevXqpbS0NB08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\nAwAAAAAXUBwAAAAAkERxAAAAAOCC/wef8On7QflPtQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x106056d50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<matplotlib.figure.Figure at 0x10619a8d0>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Specifying the Inflows/Outflows"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sim=Simulation()   # get a simulation object\n",
      "\n",
      "sim.stock(\"mice\",100,plot=False)\n",
      "sim.inflow(\"mice\",\"b*mice\")\n",
      "sim.outflow(\"mice\",\"d*mice\")\n",
      "\n",
      "sim.params(b=1.1,d=0.08)\n",
      "\n",
      "sim.run(0,4)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Plotting Manually"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x,y=sim.t,sim.mice\n",
      "plot(x,y,'r--')\n",
      "xlabel('Days')\n",
      "ylabel('Number of Mice')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "<matplotlib.text.Text at 0x106081d50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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rrrpK77//vkaOHKm77rpLv/vd77Ro0SKFhIRo+fLllboxgHnMTTSH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\nefo+j5uDW2+9Vd9//703awEAAKgcDh1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Qp+/jzgEAAPA99et7uwVAUGLOgWHMOQAAoAR2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\nTdtesWKF/cknn7htP3jwoB0bG2tblmUvWLDggq5F/zSbJ/3TcfbsWY/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       "text": [
        "<matplotlib.figure.Figure at 0x10607ca10>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Predator-Prey Dynamics"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sim=Simulation()\n",
      "\n",
      "sim.add(\"deer' = r*deer*(1-deer/K)-c*deer*wolf\",\n",
      "                initial_value=350,\n",
      "                plot=True)\n",
      "\n",
      "sim.add(\"wolf' = -Wd*wolf+D*deer*wolf\",\n",
      "                initial_value=50,\n",
      "                plot=True)\n",
      "\n",
      "sim.params(r=0.25,D=0.001,c=0.005,Wd=0.3,K=1e500)\n",
      "\n",
      "print sim.equations()\n",
      "sim.run(0,500)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "deer'=r*deer*(1-deer/K)-c*deer*wolf\n",
        "wolf'=-Wd*wolf+D*deer*wolf\n",
        "r=0.25\n",
        "D=0.001\n",
        "K=inf\n",
        "c=0.005\n",
        "Wd=0.3\n",
        "\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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P5A+xrJh+HQOIl/f3xx/VGhyHDomJsqDATraj7/DEE2oNjmSefq6Y/jfftM+R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\nDk0/IYQQQgghNZz/D3B5aVQPb2u3AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1060759d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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kr5tUVVr4tQvPdlGdvJ2LG+cWHPOqkMuAwB2+hx+On6Nz1y6aU7/9IrYiPtfL\noWtSQF7VW5L84MQJALn79FFrQOCEsGaNI6SptiTxeeIhIVdd5YQALFmSUvpS4n3GpD/KLUl8lk8/\nnVnnl38GKoBilk/6o/bEY9IfAF1MPHLzTgDqfuP7jF7DxkZnrFNx6xSzqnc+cFyYJKQB9IUR4Vg/\ncEB93XJd4yzX/c5+1pQx8dTjLFcYKh4wpppbR6QEOvguvpitkfx8rtqACAIr4jWK+GwrUzUvCon9\n+x0RhwN05EiaigqY9HfVVa23JFUhl2cYdyKOOELtS5md9AdAtyWJyZRYBg7Hen29Wo8C3m8+6Q/H\nOr8bopI7l7Cj8sTrEFfIzS841LsAyB1Xb3ic4vGx33wpV9X5RSZ54qnCiHIJaWpuHRoJQ21/8Qu2\nVvDRA+j8U4GWFmd3BUNB+TBB1cnbQWBFvAYLNzvpj4oXJ1k+6Y/POKfgBnCENG5JqvbgIDcm/XXp\nAvDlL7Of3XZbUulL2djIWjyYBMBJwvvb32iMl+ytbwC1HgUvQYknPao2IHJxP/ywuAERJibeBE88\nz61yXuEPncmOiS9EIY3jwgRveC7PMHVMPP+1yn43NzPnQyLhnMCsU8Rnc6uKidcppOfMYe1DDzlz\nJvU4w/MfqLj5KmK4RiJvZaV5Ah4gxiJ+1SrW/vzntAM0nW5t6VFtSeYS0lQvJVaR6N/fEdLYb9Xc\n2O/vfc95CSsq1HJmc/PCDrck0SOvArjoATieC/5vULklmUtkUG1Jegk71cnbuTzxeKLo7berzX/w\n6rdKA6KxkY013lMWJ2+4Dm6dBoRIaIkK8MaDrvwHnSEtL73kOCCo1uxdu1jL56xRcWM+F39wGoXD\nET+7tNTRKVSOzqCIrYjPZelRbFPlsvSKix2hxZ8EKBv42V27th6gVEL6m990xCM1Ny8k8etly1La\nuFX2G591hw7OokeVvJ2rz1TJ2173G0DcgAgTE88LHFyE339fbf5Drl2AL75g7VVXqTMgcvUZPaWq\nk7d1CGmvmPg4hNN4caucz7yMBypP/LJljpDO7rOqmHicz/gDraj6jevG4MGthbRqbuR5/nlavYD3\nu2dPep0SFLEV8V6WHoW44i09Km4coGPGmCGkTeBuaNDHTeFRyBbrFPGrXkK6WzfaECKeW3U96VxC\nGksf9u2rNv8hV78xoZV3VMhGLjFLlbztJaRV15M2QUjrMCDQMLz0UufeUnDzOVX4XPGQK9XJ2/hu\n8aGA1GtztHjtAAAgAElEQVQXQOvdc9XPeuhQ1v72t/R6ITufi4rba+2iSN4OgtiKeIzbfO45PUK6\nR49MMaFrgJogpHVy9+yZJOem8MSbIOJzCWmqWMpc97umRlzAB4lxzdXvc89l7Xe+Q5M4znPjrgvv\nSaPgBXCqV6hM3vaKDVeVvC1SJ151Penly1l76630scqY4/Paa7QhFvhu8c81kaB1vAG4C2lVMfHI\nPXo0/e45Gkbduzs/owo5xueNu3pU3Hi/ed6iIppIiaCIrYhHS69XL+dnlJMRP0h0clML6VzcVEm1\nbtY1NTelJz5bXFE871xCmvpZ5xJ2qrlz9buyUi0nQGZyKc99wgms/fnPaXcfAJx59fHHaXMv+PlF\nZe7Fq6+y9pFHHCGN90B18jb2e8mS1qGgf/mLOgMCBTxA5r2l8MTnEtIANF5pnDcGDqQX0tjv666j\n94bzIZkICu5Dh9icVlqamTemy9HJc5sYFx9bEe81QCkmI7dBQhUnjUALs75e7cEVujzSPHcuA2Lt\n2pQy3paW3Ja9zslIdzjNgQNOKJsKeHni/fQ5SIxrLgOCjw9XBTxRks95AHAW/SKFs7ybJx6/5/8e\nVdwvv+wIV7zfRUVqQqdwXGDSH5/rQGVAIPAQNwBnjPOx07KB47u4OPPeYjnAqVPV7T7g+9O9eyY3\nRTw+cuc6xI0qJp4fW1QlJnU5/fIJ6ULlDopYivjGRnZkd3Fx5iITF088P0Cp6vzqsuoBvL3hfKKx\nbPDVYXghpUtIA9COs+zQjtJSZihSxK/mCuWh8sTnEvE6dl0ouLHP2THo/MnEqrn5Q9zQKdHSAlBe\nro47+xA3AOd+d+miNvcC+4WHuPHcAOoMCHyW2aX2KE7exjHMH+IG4JRrvuwy9QaE29ql0imhc93M\nxU1hQJiwdlkRbzh0esNNGKCmGBAmVKfp1ClJygsQT0+8Tu4gOz6y6sRTitkDBzKFNMUuAN5v/hA3\nnpvCMQDgCFc+flWFgY7jYvhw9v0997QW0r16qc1/wGR8PukPuaur1RkQuXYVAZzk7aoqdbsPbtwY\n4qMyeTvXullczMZaOg1w2mkAo0Ylybipz5UxIS6dituK+Iggn5h99FF1cYVxHaAmxONTGxBuHlIK\nMesWq0wR2+fGTdlvHZ549ApedJEeIc0f4gZAY0C4xSpT9BtF+siRmcKVgrupibV80h8FL//5/FyK\nX2d7qlXzArAwEwB2TD01N+6kDxlCb0Dgbgye96KSO9fatX49zenXutZNHWtXPgevjYk3BG4PCr/n\nt2dlw22ALlvG2rvuot0WBNDvideZXLplS4qUl+fWaUDo4Kbo98qVrMXjunle1THxKOz4yh26PNI8\nN4WI79ePXkjjZ199daZ4VHnPcVx4CWmVfU6n9XG7iVk8OA9FrUru7Ln0uONYe8sttGdPAGRWYLro\nopRS7lzPuqFBnU5pamK7HEVFziFuAM5cOneuOgMi306ujmgFqvy9IIiliHd7UJRxhdkDlOJQGLd+\nb9/O2quvprXq27Zlk0RDg7qkWrdFD/8OlTHxOj3SOr0Zs2ez9uGHM8cTpSeer9xBwetWuYPSG15R\nkVtIUxgQZ5yRKaIo++02j1NzU/QZQ2natMnMs6Hsc/acQrnblP2ssVQ0CmoVcBtnGM70yCOZ5wWo\n4ObvOaVOad8+0zhD7l271BkQ+aIVHnmE3oBYs4a1vHPIFMRSxOebjKqq1MUVuk1GFIfCuA1QTDTk\nhY9s5Lrn/KEwqk52PHSIJbnhwSAInBCKipLySf8PJnjiZ87MnXCoknvnTtZmG6RUYS0AmYe4Yamy\npibxpFq/MfE4vrMrd1AIaT6sJJdHmiKkxRQhrZobx4Vp3nDLTc+Nwr20VF2deC9PfCKhPv/BTSMB\nqDMg3NZN5N60iT5SAu/HsmVqT94OgliKeDchjQlRo0fTb82dcw5rL7xQfVxhNjfFoTBu/UbwIQgU\nvCikN2xQb9WvWpXJQRnblx0aRsGdq3IHz63SgMCt/aeeyu0ZVtVvFLPZlTt0igwTvOEUY9wUYVda\nypwSTU1OaBUFL/993IQ05S6Am6hUuZubq99t2rA5Np12diJkI59GKi9X7+g0yYDAkKLqavWlY/0i\nliI+34RA/VICOOJDJdxezOOPZ+0vfqHeeMnmRu/4yJFqX8r9+3NX7jh0KKV8WzC7cgdOEK+/rs6A\n4MdwrvAOleJqxAjW/vKXtEIawAk34A9xC8LtNyYenzUuctm8VkgXBrdXTHwiob7fJohZE4W07nGm\nuk589g626hNE891vlRWY8t1vigpM2f2eNIm1V12ltvJUEMRSxOucENy4KY71dePGusMq4wpra1l7\nySWZorVvX9Y+/LBaq76xMVNI82JLlVXvJqRxnGWLexXcI0ZkTnj47KdNU2dAoBeyW7fMn1OIeL42\nPyW3CUI6u8+UAkcnd1wMCJ28XtwUa5eJjjfV/XbL5+K/V9VvE4xFN4107LH0zkaK5O2giKWIj+tk\ntGIFa2+5JVO8UbyYmPiXHTaDIRZ8BrxMuAlpR3QkYfZsNZMCch95ZO446ey/SQX3FVfkDu9QWYHJ\nLU76vfdYe/fd6iswuSVFiYby+I1xdeszhSfexLh0yn5TGmzJZBJaWpwdH2rjxUQRX+jcIk4/FTHx\nDQ1MyLdp09rBprrfJjobKTQSbqj84Q+ZaxRFv4MiliLeRE88BTcKmDffzBRvKg9HAWCJpYhs0aq6\n37jYZlfuKClxQnmySyHKAt7P007LFNJ4vzt3Vrct6CZwKCsbZHPv3ctaVRWYGhtZlaPi4swkZgCA\nrVtZe801as9/MMkjTbnzEadQHv7dyvbMWREfP25qbzj/M13jjGLn45//zNwtphDSu3ezdsWKzDWK\not9BEUsRr3OAzpvH2j//WZ+lN3y4HiFdVNRatKo2IPBzjzqqtVhm/U4p43bz1uH3PXqo2xZ0E/H4\nvcoKTG7CTnUFJjdeAP8VmPzGuLpx8+N74sT4GBCFyp1KpYTEla6wrYMHmfdWJbdJJSYpPcPUMfFe\nxSCoYuKXLqU/BRo/+7PPcp8CrVKfoVGeXeSDot9BEUsRjwP0pZfoByhyrVxJb+lhjPITT9BW0MA+\nderkJqRpvGbZUD0RIjeKVwTFs84n4lXGFbqJStUVmNx4AdRXYHLjTiScheHVV2nrKuP3a9bQn0Bd\nqCLei5eSO1vY4c5iOi1eRjUot85nrTOxlZobP3fnztbvr+o1BD93585MIV1Sor4CEzq/AOgPrxs2\njLW/+Q2tszEMYini8UFk1xulsOqxLvqgQfSWHsal80eFA6gfoPhSZotZnluHiGf3PKl8InQT0jpE\nPMU4c/NK46SoKjnIyxOPFZhuvlnMgAhaJz4XN4b2jBpFuwPBx6WrrsDkNs5eeaWwDIhkMmmEiDeJ\nu5ANNgCAPXtYe8EF7rvnKmLi8b3OdTIrlfMLIFNI8xWYVK+bo0Zl7hZT6DM8dLJr18yfW0+8Ychn\n6akUV8OHsza7/B7FANUl7PILafUGhE5PvA4h7WY4URgQusI7vDzxnTuzVlUFJi8Dwm0HTBbyCRwA\nmpMdeaABUVtLf7Ijfv/gg2oMCBOFtE5uivnsgw9Y+9Of0hZlaGlxcrpmzzZDSFNw4/rRv3/rsEsq\n7muuyc2rcwfbinhDwJ9w6GbpqYorREsvu/wexQDVJexMDGkBUB8TH3dPPHW/vQSOX25ZdeIBnJMd\nVVVgymc0lZSor6tMbUA0N7OwkUTCPVzt00/lGxCpVMrTYFu9mrXZFcBkQaeInzuXtQ89RF/dDIsy\nLF5MG4bKhya5Cen6ejUx8bheV1bqyyU788zW84Yu5xeFkM5XdcqG0xgCfFBXXpk5QIuLndhZ3luv\ngttt4SlET7xXOA3V1pwOA8JtQsD41eZmJ8RJNnQJaYyVLCpy3iUqbpEdn0L0kOarEAOgPoHajTuX\nAJEB/t3KDs/iY5dVGBBezxrzrVQdz46fP2NG610G/Prii9UYELt2sVZHPhdixAhajzT2KZchTMVd\nU0OfS2bimk2pkdwcndYTbwh0Lva6rMymJiYai4pal98zIZyGWkg73Opj4r1yAXTtAsSp/B7+Pfzf\nlw+y6sTzP6OuWFJayhwTTU3qjMV8nviqKtodAP5nuUIBwoKPiV+5srWQxt2WI49Um/+Qnc8F4CQa\nLligxoDAfK6BA92FtKoKTPgMn35aT2hHRYW3kFZVJx7AW0gX8pptUkEI64k3DCZbmRTJpdniyoRw\nGp1CupAr41CPM5lC2i90jjOvcBrVBx+53XM+Ca3Q4qRFRPyJJ6o1IHbtai2kVR/P7pbPBeDsfA0b\npsaAOOYY1mbncxVxKkJVBSY0Qnv0yPw5vm+rV6vJfzC7KIMeT7yuflNWxrGeeMNh4ssRR8uagjt/\nv+lj4h1ufZ74QhbSXsJOdUy8zoRDnWFElKem8rw7driX31PR51Qq5SmkVYUtIdzyufBnAAB33aXm\n78AEz+zKHQDO7u7o0WoMiHzr5oEDahKoRebwmTMBxo1LaTEgCnHtcus3hVNCZyhPUMRSxHu9HBj3\npyquUJe4MnH3gf9ZnGLiKbmpPQomxIabtPMBoD6cxiuUR7WY3rePteefT5vsiOO7vl5f+b0jj9RX\nueOKK1oLddUVmLzWkMpK1j71VGGdQC2ybtbWArz1lh4D4o9/pN+B0O94K7xIiTCIpYj3GiSq4wpF\nPPEq4gpNFzhxi4kv1MnIVE+86ph4L27V4TRYfu9//qf1vKHy/Ypj+b1kMnl4TjnttNaCVfWzNlVc\nYb9VVGBqaXHCabI/X3UFJpG1CwBg7NikFgNCRQUmAO9+r1nD2p//nNbRyf9MxRjHvMFEonXeoA2n\nMQxeL4fquEK3Aao6rlBkMtIZV2hj4mm4VccVenmFoyTi/WLePNY++CCtkOY/N7v8nmpukfJ7qsr1\n4pzStas+b7hpQrpQ++2Vz8WLeJU5CF59zjUGZUDcgFC3A5GLG3f13nuP1tEJ4By8deGF6nSKV1EG\n64k3BF4vx4gRrL37bvkvZTrtPUBxG1RFXKGIkNYZV2hj4uXBa5ypPnFPZ3w29uell8LHSfuNiUeu\n7PJ7PLeqkBZEdvk9nlvFPfcqv4flevmxKBP4mSNHulcNUXG/+TrxOkS8TgMi/66mehGfDd44V2Es\nijhi+vUDWLYsJZ1bpN8DBqg1IHJx48/69aN1dAI4jqc33qDVKfizvXvVnUAdFLEU8V4vh8q4wqYm\ntjVYXNx6uwbAiSvMLqMlAzqtepGX47XX1O4CmBoTr0JIe3muVHPr9MTj527e3NoYVc2N9zm7/B6A\n+hALnDeefNI9vEOFoPUqv8dzUws7qpCWOHnDAcTCA6mfdVGR83PVc2k29DugAE46iTYHAYCFkQEA\nfPe79LsfGClx1FG0jk7+zBNVJ1AHRSxFvC4PqdfkD6A2rlBkMiotVXswixf3jh1qdwHcuZPw8MNq\nDAhd4TRevKq58TPfeaf1PaVK3gZobYyqjomvqWHtnXfSH8yC8cLdu7f+P13iSjW3LkHJx8SbKqR1\nFkfQMZ/p4ubvd6HViffixvmtSJF69LrnWOb03ntpHZ2JhNPfMWPU7EAERSxFvC5PitcEzHOr9JB6\nCUpVcYUi3AD6dgE++4zegFi5krW33abOeNi/P7dxonKcYZz0zp30VUOQe8QI9zhpVQLHq/ye6gox\n2O9cxn+hinhTBU6hhrQA6AuLzDfOVDolTDDY4vSs83F37MhaFZES+YzF8nLWPvOM+lKyfhBLEa8r\n2dF0j4KqJDQR7ooKXclBKQBQY0DU1rL20ktbC+n9+1m7fLl84wEXnqam3MaJ198lixsgvDfcL1DM\nXnpp63Hk9732GxOvS0gDiAkNleE0OkU8tciwMfHx8sSL9tnvfCGLW8eui0qNlC9vUKexiM4Yt//X\nhViKeJEFgDq+jv97dMQVovjgK05QcOP97tNHjXW7fDlrp05tLVjxfueq9ywDGOYwd25rIY33u7pa\n3e4DQG7jBJODFi6Ub0Dg+OnXr/U9xT43Nqopo4rjLJeQNuEcBh2eeF1x6QD6DAj+WeMOiQpunV5K\naoHjVeaR59axbuoyIOJY3QxA7bPOlzdIkc+lw1gMg1iKeF0Toegg0TFAVU4KL7/M2scecxfSqsQV\nerxzHcaBMfGqjmdHAXHssa2F9JlnsvbKK9XtPpSX5zZOVJZRxQX39NNb8yYSTgKoijKqXmIWx9kH\nH4jlP/iNcdUlpFtaHKOMT75C6AwPVNlvL26VyY6iMfGqDDYTKsTkSpY3IWyL2oDAZ9DQADBhQpKU\nu1B3XUzd3eO5TSszGTsRb/J2TaEO0J07WbtmDW0dax5HH91asKo+OAKRS0hXVLA214IYFvgMhw7N\nbSB4JWGGhZeYBXBiGUeN0nO64sGDavIfsN9e3CoqMPH320tcqfSGmxbmoJo7juE0Jtxv08JQeWNR\nRRlVE08u5X9WqM96+fLc87SpBz7FTsQ3NjIhX1KSOzmiUKuGIPfMmfQDFLO6c9WVVe2J79WLtY88\n4lY1RE2deJzU27d3BDsPneMMy6jm2q4MCy8xC+Akfqo4nl3EEw8glv/gN8bVK5QHF55cyb5hke9+\nozf8b3+Tb0BEwSkhmzuVShmR7KhLxMfNYBPlnjMnRcptgrGoMmLArR47RThNXV3uedp64g2BTo80\ncq9ZQ181BD9zyxbvAapiUjjuONbefDN9+T30iOcqv2eCR0Hls9aZe+HmiS8rY62K5CCRrW9Vx7PL\nNCD8IN/9xnGmogKTqTHxADS5ADrrxJtaWa1QvbP5uKk98aq9wjt2sPaii2hPoMb72NhIr1O8ijIA\nWE+8McAXo77eW0irnBB27zZvgKoUlV7l93SeuIcx8TrOBDBhx0dliUk3Uamy3yIVYkTLqPqNifcS\nlfgzFRWY8nniKQwIN+6lS1l7zz3qyqhSi0rddeLjGE5jakEInnv06KR0bixDfPPNtDoFwHF+5SrK\nQLF2AdDrFPzM6urc87RNbDUE+crv6RygFNzDh+ceoLomQjyena9+IBO6Y/vyTf46DAgTKjCpNCC8\nhLQqY1HEE9+3r7qD1NyMJuy3igpM+cb43r2sff99dWVU3bi3bmXtNdfQGhD4rA8dAmhulsubj1tn\nOI1OIW2CJ17FfJa/KIMa3nTamSOphTQ+a7eiDBRr9mmn5Z4nVYf+BkXsRLxOSw8HaN++3paeSu5L\nLsk9QE2ojEMtaFXGxJsQTqNjwc3niacY47m4+TKqIlvfQWPivQwIFVvuojsfKiow5RN22O++fdUl\nMbtx431ZvFiuAZEvJp4/2VF2GVXRMo82nEYe5s5l7UMP5X6WyL1gQUo++f/BqyiDCqcE70yj9kjj\nsz7qKG+dUmh5H2EQOxGPD6pTJ30D9OST6QdoHCfhdNrcg70KNR5f59a3aGgJdRgRhZHq1meVBkQ+\n7smTWevmOFDJjeU2Bw+mNyCwStCcOeqSmL0qEa1fX5hJzP/+N30uGXK57SapjInv2ZO106blLter\nqowq9qWszNsjXWihoDp3z8MgdiIeH8CgQfosPR0CR6eo1BVike/gCJUx8dYT781N7YkH8HfP/cTE\nNzezf4lE7nFmgideh4jH+VVlGVU37rFjWTt1qlwDIplM5uXGqmc1NXINCFGR0dCgLol51SpvIa2i\njKrOogw4dgcOzP0s8Z4PG5aUzu1VlAFAXb9NdgIVorMxLGIn4k1OODTh5Sikk9BMMFx0jjPT4tIB\n1I4zXUm1+Wq1m+CJj9suQMeOrM11AJZqbvSgPvaYXANCdE4BkJ/ELFqUQUUZVdGiDCrm0lGjWHv7\n7fp2z6n1QlyFtM5+h0HsRLxoWEncrMxC3AUQW/TUxsSbbDTp8IZHZcfHT0x8PsNFpydep5DWabyo\n4uZj4t3eLyxvKbuMKvLW1eX2diNfcbH8JOZ8Qprvq6oqSG5FGXA+e/xx+bsAmJzcrVvu/0fupUtT\n8kj/D7r0ggnOLx1zis5QnjCInYjXmbxgwssRp12AfEK6tJQloTU3y6+ME0ejCUBvOI0ubtEKMSqS\n0ExY9HR64vMl1argRpH47W/nFoyquPF+HzrkXVktnZafg4DcVVXeVUNUlFFF7ksvzf25eL83b6Y/\nC+G991j75JPqqiDpcn6Z7IAqtF2AMIidiBd9MTZsUJccZOIBQIX4cuTjZdzJjGupuHWWmNTpIaUI\np5Exxv3ExOczHoqKnLAOvFYWTPDE6xhn77/P2p//PPccrYo7mUweNvhfey23YFRtLALk9naXlLCx\n1tLixFPL5nYryoDjrLqaPolZ5S5Avnkcy6h+8klSqvGQTufv9/btrL3qKjU5CCLGg2ynhAmOTpvY\najhERYabtyMMRIX0vHnqkoN0Zn1Tc+cTGQDqDAiTd3xUcus87Ek0lIc6hpTnli2mdVbkmT2btQ8/\nTOuRBnBOgX3zzdxztCpuXrS4CUZV3Ph5Xt5u1dwmrx9uh/SEgagBUVUl13hobGRjraTESZTOhqoy\nqvn6XFTklFE9/XQ9VZAKbRcgDGIn4vM9KJ1WPf581y5124I6yjzqju3zjk1NZVxLxW3ColdIscoA\ncgVtkJh4N+OB/5t0hfKoENK7drF29WpajzSP4cO9q4bI5p4zJwUALIHZTTCq4s5XQ5uC28QkZvz5\n8cerCyNym0u/+U3WnnxyitR4AHAqYQ0ZQqtTeMyercbRmU+nrFtXWI7OMIidiBedEIqK9Fn1AOoM\niHxC+okn5L4cIh4F1QuP12SE90NXmS6dZwLoiEvXmVSrq5oDgHpP/Ny5ud9blQsPeuP696f1SAMA\n9OjBWrcKMKq48X537Oi+Nqj2hnuNM12e+LgmUJeXs1Z2GVWRtWvMGNa6Vc4JCpEdbFVlVP08a+r8\nB+uJNwSinviWFucFpeZWmRyUj9utFq8qXgCAd99l7T330FrWAACVlcmMa6m4TfDE6zxwSTZ3czN7\nZxOJ/Maiqpj4jz92N4BVh/Js25b7vVUprlBE3HorrZAGyF9DWxX38ccnMz4/F3SGB+oKGdM5n6kc\nZ6LcRxyRlMorYrCpKqMqsoONRvQTT+jRKQD6IiXmz5e/CxAGsRPxIvFeuE0lOwlNdCLs06dwkoNE\nJqM9e1jrdipeWG6vRW/rVtZ+97u0ScxYU7yx0SljJgsmhNPoiksHAJg0iVZI4zyxb5+7AazaMwyQ\n+71V+awxPrxr19z/r7Myjs78B9XVaUzkNiGcppC4/ewi6+BGr7RIyI1MbooyqjrCncMgdiLe5JfD\nBI+CWwkxVbw8d9++tCFEAAD796cAQH5yUL5+JxJOOMLEibQ7EDoTW1WFtCBvOu0+waqKic9XNcQv\ntx8g95Ahud9bfA6HDtGXtyxEcfXGGykA0LN+xDWcxgSnRL5xtn59ipQXQF2IngnjTCTcWVX+g45w\n5zCInYiPwgDVWVf5uONot8cAACZPZu0ll9Bz467L4MH0BgRizhzaHQiVix7ubFx5pbc3XFU1IAD3\nCVaV8YIGRM+e9FVDkPvcc3PzFhU5Qp56PivEBOp84WIquU0Op8Hyls3N6spbUq+b6bS4sJO9a2+y\ns1EnN85ljY0sfJKSG/vcpYv8XYAwMELE9+vXD4qKinL+6927d8a1GzZscL22qKgILrjgAk8ukQGq\nysI1wRNPPRGKGE2Ye1AkeTSKLHonnpgEAICpU+kNCFXJQR9+yNobb/QW0ps2yY/tw8UslaKtWIK8\n7drJqRriJyYex9m4cfRVQ+LolBCpeKWKe+TIpCevSm6Tw2kSicIbZ01NbKwVFzvOnmzge921a1Iq\nt8nvNf9/1POZyjM3RB2dKsKdw8BlaNKjS5cucP3117f6eUfM3sjCqFGjYDK6cDkcc8wxnjwmvBzU\nIt6PR0FnhRgdi56q5KC5c1n74IMA//3fuV/6nj0BPvuMHRcuc1LAGtoYIvTss5n/j/ejsdEJPcm+\nJixGj/b2hr/xBjMgnn5aTt9xQj/iCHohrbPEpAh3u3bsUJr6ernJ+rri0nVWvDLZG87/n45+t23L\ndrnq6wHKyuRx6wqnMWHtstyt0a4dmwMaGuTG5OvM+wgDo0T8LbfcInz9qFGjfF2PMGGAUg8SPGHQ\na9HTZbjw/6djQqirSwFAUjo3ercxWTeXSEZBKxJyEwTHHONd+g9AfmxfcTHzYP3nP95hJXV1cg2I\nfAm1AM79fvxxgKVLvQ2IVCol7I03ocSkiR47EzyFsrmXLEkBQNJIJxD/fzruuS5uE8bZ5s0pAEhq\n4S6k90vUWNy7t7AiJcLAiHAaSphQXSDfIKmvl5uEZrLhQsH9z3+6h42gB142N4YGDRzoLpJVec0q\nK1n71FPeQhpAfmwfGow9e+b+f1UGhB9v+KZNcqsLiHAvX87a225TUwUpnycegN47q9MjrXIXIB93\nIc+lJnpnTeizzpj4QtyBMNGAMFXEG+OJr6+vhyeffBI2btwIZWVlUFNTAxMmTIAil0DpzZs3w1/+\n8hfYsWMHdO3aFcaPHw8jRowQ4GGtidUFMDmopYV5M2WFeIhat/y1soD3e9ky9/AJ1Ul/mzaxf7m8\nvv36JZVwjxoFMGuW90EcKmM5AQC6dcv9//y46tRJLm9LCxvD+XZ8ysvlGhB+jHOA/AZEkJh4L+79\n+1m7YoXc8KU4e+J1zGdDhyYzPj8XCtF4MSGUhzpsy0+fy8qS2rgLacfHZAPCingPJBIJ2Lp1K1x0\n0UUZP+/fvz9MmzYNJkyY0Op35syZA3PmzMn4WTKZhMcffxyqqqpcuXRORqID9OBB9nfKEvEmWLd8\nbVW3GG1V3ADuok0VN2bOu9XQVsmdb4xjElpDA/vXoYMcXj/ecK/YddXc1dVyDQgRbvy/6mo1Jxx6\ncW/bxtqrrwZ4+WU6w4n3UqJxJwMmzGcmOoFUcovc80ILpzFBUJooZlVy6xrjfLL82WcD/OMfdM7G\nsCU3ktkAACAASURBVDAinObSSy+FefPmwbZt2+DAgQOwcuVKuPrqq2HDhg0wceJEWLFixeFry8rK\n4JZbboGlS5dCXV0d1NXVwfz58+GrX/0qpFIpOOWUU+AAZvblgMmeeAA1EyH2ubY2/4mSqrzhAPRC\nGrlHjnQXbdu2pZRyi4hKHdwqnrcJ3iMR7hNOyC9k/dSJF/GGT5rE2muuoTde8N7IPgtBxFhUcRaC\nTo/0e++ltHGbsHaZKGhLSthYk13e0s84q61NySP2yV1Iz3rdOtb++Mfu84UKbgyTAwB49dX8B/bJ\nPnMjDIwQ8bfccgskk0no3r07tGvXDoYPHw4PPvgg/OhHP4KDBw/C1KlTD1/bvXt3mDp1KowaNQo6\nd+4MnTt3hpNOOglmz54N48aNg3Xr1sHf/vY3Vy6dAxRPJj3/fNoBigt9QwP9iZL4eV7eT9Vi9vLL\n3YWTqpj4qAhaFePMVMNF9f324u7cmbWJhBpur2eNY3zIEH1nIcyeLc+A8DO+16+XW0ZVZ0y86eE0\nKrj5ED23Mo+JhFqnhIhW4EWgDOg02ObPZ+0f/kCrUwCcMzwWLnSfL1SuXQDuzsbiYvYvnZb/vMPA\nCBHvhmuuuQYAAP73f/8377XFxcVwxRVX5L3+zTcvAYCp8O1vT4Vf/vJ3GR63VCoFqVTq8IuzdGkq\n5/8H+T6dBmhpSQFA6vDhPrmuT6fZ9w0N4fj4750BmoIhQ1KHByh/PXsxUrBvn5z+4vcrV7Lvv/51\ngGXLcl+PL+Xnn8u73wAAn3ySAoDUYXGV63pexMu63wA4KTj9z3X9nj3s78PJSAb/vHmpw96ohQvd\nr8fnLfN+z5/P+oPPM9f177zDvld1v/fudb/+ww/Z3ydyv5PJpDA/vl9btrhfz+aUFHzwgZz+4vef\nf86+b9PG/foxY9j3U6akYNkyOfxMXKUgkUgdFle5rk8k2Pc1NQAXXSTneePza2jIf7/r61OHHRcy\n7jcv4t2ux/H/8sspGDcudVgIheX/9NMU5Hu/tm5N/d+9kft+MVGZguXL3a9np1/Lnc/mzGHft2vn\nfT3OZ3PnyukvAFYi8r7f+D6VlIjPFyLfs3uYOrxTnOt6dkqs3PudSjnjdcWKFEyenPt6vN+rVsnp\nL37f3My+HzHCfb7A5/Hmm/Lvd3Fx6rCzMdf1JSXO9bn+/3e/+x1MnToVpk6dCpdccgmQIG0w6urq\n0olEIt2+fXuh61988cV0IpFIT5w4Mef/A0C6rCydZpI6nT7vvNyf89//zf7/iSeC/uWt0djo8I4d\nm07v2pX7uiFD2DVr1sjjXryYfWZFhTvv3r3smrIyebzpdDr9xz+yz/3e99yvef11ds1XviKX+5JL\n2Oc+8oj7Nb/+NbvmRz+Syz18OPvcFSvcr5kyhV3z1FPyeOvr2We2aeN93aBB7LoPP5THvXYt+8wB\nA9yvqatj13TqJI83nU6np0/3fqfT6XT6tdfYNV/9qlzun/yEfe4997hfc9dd7Jqf/lQu98kns8+d\nM8f9mrPOYtc8/7w83n372Gfmm5r79GHXLV8ujxvniwkT3K/ZulVsvvWLe+9ln/njH7tf85//ONz5\nxqQfnHce+7zp092vmTqVXXPzzXI4Ef37s89dv979mkmT2DUzZsjjra111i4v9OzJrtuyRR73K6+w\nzzz1VPdrNmxg11RVyeNNp9Pp225jn1tdnU5PnJh7/P7zn+yas86Sy92jB/vcQYPc35ubbmLX3Hmn\nXO5evdjnrlrlfs3Xv86ueeUVebxbtrDP7NnT+7rKSnbdF1+IfS6FxDbaE79kyRIAABgwYID0691q\naAOo3a4pKvJOqlPJPXw4faUUkVADVYnEIrHKGzemlHKL9FvFFrAXrypunZVSZN9v3sMig1t1zomu\ncZYvlAZr88s8lMVPaEdJidwkZtxJkVUFyQ/8hBFNmyY3jEhXOI1ISIsqbvysd95xv5d4P/gdQBnA\n93rjxvwhsLLXLjwv8+679VVW697d/Rpda5cq7rDQLuI/+OAD2I/11zhs2LABvv/97wMAwHe+853D\nP1+6dCmkc2QVzJ07F+6//35IJBIZ12cDy+79/e96hHSnTt4Liq5YZUwOampiCUKU3DoNCFUx8SKT\nggphp3MyErnf+H+HDslNDopKDkKhxCqLinhdBgT+X1GRmkRikfvdtau+Mqqyz0IQidFetoy1d94p\nz3hA3p07vY0SleNs5878Qlp2nXidBSFwXsbzRnJB55qtct3U4fwKC+0lJqdPnw733XcffOUrX4Hq\n6mro1KkTrF+/HmbOnAkNDQ0wadIk+H//7/8dvv5HP/oRrFu3DsaPHw99+vQBAIAVK1bA66+/DolE\nAu644w444YQTXPlQoLrV0AYww0Mqc8EVWXiw7GB9vb6ygzq8lCNHJpVw+9mBKDRPvBd3UREznBob\n2fUiSZGyuP302U+deD+e+ELZ8RFNatVlQPDiSmZ5y169ksLc/frJNSBEj6RHUO8C7NvHWplnITj5\nD94nPNfWsvaKK9xPi/YLP0K6uTkZnpAD9rumRl9BiELYURWFznUzLLSL+JNPPhk++ugjeO+992Dh\nwoWwf/9+qKiogAkTJsCFF17Yyqt+0UUXwQsvvABvv/02vPLKK9DY2Ai9evWCKVOmwPe//3340pe+\n5MnnZ5CoENI6BomfAapKxOucEOLEbYInXoS7sZFdL0vER8UTr3PHR0eYg0oDwos7kWDz3aFD7J+s\ncB6Rfptw+NCRR8rdBcCqzeeeCzB9eu7PxfVF5lkIIkKavw6rmsgwIPAz+/UTE9ITJ+auLx6G+6qr\nzA6BlcmdTusT8dYTHwITJkzIeZiTGy677DK47LLLAvPFUVyZbkDonIzWrk0BQLJgJkLTPfHIvW+f\n2eUtU6mUsDdepyde9zgz1ROP/3/oELtelohnFa+SWgy2tWtZ+5OfAMyc6S0qTzxRnoBvbnZCLGbN\nchfJkyYBPPSQt/D0C7yHFRXeRgmGRQ4bJt+AOP10d17nZOoUvPpqUroBYeoOtoqQlqYmNs6wlKMb\nCk2fhYX2mHhq+Bmgjz4qLzlIVOAUWpy06ZOR6ph4XR4Fnc/aVG4TvOGF5ok3ecdHRb911olHb/ii\nRe6x7irGGV8T28sbXl7OWplnIeD4Puoob8Ng5EjWeiVj+oWoQwRDtcaMkW9AiLzXa9fKTWLW7eg0\n1dmoijssYifi/XiuPvtMXnKQ6CBZvpy1t98uv7JAXCuWeHEfd1xSOndLi7PwxckTbzq3qph4P9zW\nE0/HraLfa9cmAQDgd79zn59V7bqgOB4xQk9ltXyVfnQmHHbsyFq3A6FUcrOD3JLw7LO0BgQ/p8hM\nYvbjgJo9W76j01RnoyrusIidiG9uZpOhyHYNgLzkINFBgoV6MDlIBky3cAsttg8FfGmpt1eq0CYj\n07kLbfvZL3ehCGnsxz//6S0gVPR7927Wes3PqsZZRQVrn3wyv5BWkc/VpYu+ymomCzsVZVT9zGcA\napKYRbhra+kdncj9l78UhgERFrET8QBskIiIq/795SUHiQ4SDO848kjarTkAgG3bWHv11fK35kQm\nBNllB0W48cQ5XQmelpuO229MvApuncmOKoS0Dk88vtf5dkpV9LupKQUAAIMGuc/Pqjzxumpoi4or\nlc/a/DDUFHlFOfw/2Wch6DIg/DqBPv1UnwFhRbxmiIqML32JPr7ujDNYe/XVtC8lgPM3Ll4sfxfA\n654nEk5c4emn08b2qYiJN90jHVfukhI2zlpaHEFExV2onvi33qKv3y1asURFv/v1Y+2vfuU+P6s6\nC0F3no2pO7k8t4oxrtOAEHnWpaX0ZyHg/3XrJt/RKfqsAegNCBXhzmERSxFvqsgAwPg673AfvxCd\njFDQDh1KuzXHY/Zs2jCiL385CQAA69fL25oz3SNtufNzB4mJp/bENzUxgwQA4Jvf1COkd+zw9oap\nNCBGjqQ//bpLlyQAeB+Eg2chAMg9BEhXEnMUQlr0c8utcBaVMNQBA+Q7G0XH2cCB9JESKsKdw8KK\n+BxQseBGYSIcPZq1d9xBvwuARsuoUXpi+2QmB0Vn4bHcMvDpp6y97rr88dmqPNLUQlrUG67yWV9+\nOX2MtumhJTrfLZ0GhP5wmnjtLJrwbiWT9JESKsKdw8KK+BwwQWTomAhVZvjn48YTdL2StoJye93z\nd99NHf5a1tacX69wKlUYuwAmLHqyuP3ExOO7umBB/vhsFR5pAH1COl/ekAlx0jK5d+xICXHLvud8\nxSsUErmgcucjruumGHfK6PlMFM3NbKyJFv+I27OeNIm1MsOdwyKWIl6HVW96+T3d3Jjhn+/Z+IGf\nmHiZyUF+J6Ndu/TtAkybJt+A0DHO3nyTtb/6lXdfVCYmjRxJG5/NP2tdQnrixHhVLBGpEw8g/57H\nteJVFNYuE3Y/ZHHz75aucWayEwjDnYsMUs4G/Sl0iNNL6Ye7kBaAdFpsEj7llCQAMBGvK7YPQN8u\ngMyzEF54gbXPPOMtpJctY+0dd8hLDtq7l7VLl3r3RUVMPO5gPf88bXw2jrMePfQJaVPDSlRxt2mT\nFOKWfc9NEDhReNY6Y+ILYfdDZzJvFIwmW53GEJh66JHllrstmE4zi1l0W1BWJQm/k1G+I8X9QGeG\nf20ta9eu9RbSKpKD0Gs0ZIh3X1R6Z0VL/1GPs7iHWBQCtwlCOgrrR6H1mzq0JI7vFv9ZVsRHBHEb\nJHFccEUn4P/93xQUFzNhJSs5yO/kX1UlP0HnhRfESv/16yfPgEBjqarKW0jjWKiulpccNHgwa++/\n37svW7ey9pprvHcB/MTEi4xxFRVLorDg6vTYqRC0e/aktHAHeda6nBKFMs78cRdGTLwJhksUjCYr\n4jXD5Mmo0LhN3xZUyb1smb4a2ps2iR2EI/MshK9+lbU//KH3Z+JZCNdcI4+7uZm1mCDtBrzXss5C\n4MO28i0+KKrOPJM2idkE76y+hEO57xca+qbOZzqNxULb8YkjdxSSSwvNgAiLWIr4uFqZcbJwRXmT\nyaQy7ro6+hMl/VYskTkJY0hLPmGuIjlI9HmjwMkXdiMaEy8atsXjtdf0JDF/+qn8Y8pNXnBViMp0\nOqmFW/R+A+gXdoUQVuKfO1kQ66bfUov8WRVU3IVkNMlALEW8+RNCYQhpnlvXtuDu3fmFi6qJEEBf\n6b8RI+gPwjHBWMzHLfssBFFvOIAj8r2q2KjgRkF56BB9FSSdyY6FNJeKjm+V3CaXR45jnXgV3KK8\niYT+cVYI91sGrIjPgUKz9HRy79rF2u98R4+QzidcUqmUssmoqopeSONnXXqpuQfh6OTGSjJetbYB\nxGPi/XhIe/Vi7bRp0U9i9vusFy6M/i4AC51KAUD+8aPTE6+KW6eQNl/YyYuJ5w9vyjfOCtFYNNkJ\nZEW8ITA5SUbnLoCKfuNklC+EQNWEAJBfuKgyIE45xdzSf4XKbWoiGABAhw7i14pA1BOP/19UpK8K\nUr7QMj/wm9j697/LMSBwLisuzh86VYg5PiYb5yZwqzDYvGq189x2nIXDG2+w9ve/13fOSFBYEe/x\n/4cOycvw12npffABa2+6iX6A4v2jFtJ4v8vLvYULHxNfSGW6dIwzv6LS5MVeNCZe56Lnd5yl0+x9\nkMkt+qwB5O0C+O335s1yDAjGmxR61kuXsvaXv6TdfQDQN85MqBOvj1teTHyQXRcd3KrG2b/+5W10\nq3A2Ile+ssdWxBuCfAuPigz/115j7UMP0QvpAwdYm68ih2wxixVDAABmz6b1SuPnDBmS3/Ooijvf\nOCu05CATjJc4xirn40bPsYoyqqL3O58xHYSb2oDw86zx8LGVK2lzEAAKq7xlHEMsgswpsp/18uX0\nuWR+K6vJfNZYZGHQIPpzRsIiliJeh5WJseGrVnlP6iqsTMTw4Xq84W3bsgONvKDLo6AyJl4kOUjl\nsdleKKRFj/8sWdyiMfFR2H5Wwe1X2PXqJf9EZFHu6mo5BgTjTQndb7wm35kJ/rjFhN2mTaz9/vfl\n7gJEwVgshJh4E7zhu3bl372SvXb5LQghc9dlxAjW3nWX9zyhUp8FRSxF/Isv0luZaOkNGEBv6fXo\nwdrHH6f1hkfBS1lo3FGKIZWZcKjbE69zwY3bOPP7rMeNo80DAAD4xjdYe/nl9Nx47ZIltDkIAE4M\n96RJcs9CiFONevycnTvNrazGc8veBchXWU1FuDN+TmWl93XWE28IRGIkZT+ssWNZe+ut9MmO6BXJ\ndxCOCZ5CWROCKLeKOvEmeEij4ImX9aybmtgkLDPh0G9MvI6tbxPGWZyMRfY5YjHxmHsg6ywEP8+6\npIS1gwfT5iAAOGJozhw9ZyFs2CCvCtKePay94AIRIS0/Jr6hgV6niFZWU8l9ySXevCoPNNOxboZF\nLEU8AL2ViZNbvrASEzxXheSlNFlIq+COoyfehGdtuXOjkCp9mbC7J/KsjzuOtfkcRiq40YiuqaEN\nI+Lvt6wqSH4rq8keZwD6CkLkq6ymktvk90tFKE9YxFLEDx+uz8qMwvZzIb2U+bhVxMTr3IEwwRNf\nCOPMb0y8ToPN5PfLhB0fuX0Wi4nXKeJFz0JQwd2zJ2sfe0yOAfHRR6z9yU/EwkoA5CQx82EaYkI6\nBfPmydkFwDHTpQu9Tolrjo9O51dYxFLEX3xx/glm+3bWXnUVbXJQIWX4R+GlVMEdd098nMZZFLzh\nOrll8zY3s3+JBH2t9iD3m3q7n79GVr/nzWPtn/+cfy1s3z7zbwgLv5XViovlJDE3Njpf5/s83G3a\nuVNmKVOAYcPEveF/+5scAyIKc4pObiviDYHIIMGXeNEi2uSgkhIW88Wf2kbFHceXMplMKsuyN9mA\n4EWGbGOxEMaZaEy8CQabycai7DKqOC/rOAjHT534KIxxUaAwfP/9/GuhbG58xsccIxZWkkjIDSHq\n0EFUSCcBQG4pUz/lRDdulGtAiMwpK1eydupUWkcnf00h7CyGhRXxLsDkoKFD6ZODZGb4m3CEs8li\nViW3yTsQRUXOGI96clAUxKwKbhPeL5EyqjK547q7h5/zz3/qq6w2cGD+tVA2d9eurH3iCW8xXVLC\nxposYzHI+lFZKbOUqT9uAHoDYv9+1i5fTl8FqZB2sMMiliJe5OWoqWFtvrqhovDzYiJkZPgH8Vx9\n8oncrTmTxZXKmHiTPQoA6ur8FoInXjQm3oQxHidDVb9xnoJly8w9CEcF95gxrL3tNvpkRzwwMF9l\nNdnGov/xnYIjj5SjFYKI2f795RgQfrjxmiOPpHd0YrjzlVfSnohsRbwhMD05SGaGf1DrVsbWXBDu\nuXNtbF8Y6PJm6KzVbj3x+rip77kJfRY5CEcVNwB9xRL0bOeroa2CW9f7FbX3+qST6CsRnXYaa7/3\nPXpHp+xwZ1Fu3L1uaQE4/XQ5BkRYWBHvAnyYOmo6Y4Z/vsOZRBAkvg6AfmsO77fs5KB8L6XKOvFx\n8pCqqNUuChNi4qMipGVXQdLlid+xI7+xr+Y05CQA6Cv9l+8gHJXcURG0eozFZEGVMhXhln0Wgp97\nLjvc2Y8+w4iGWbPkGBBhYUW8C3RORjIz/INMCLIy/HXG9gXxpDz+ePR3AXQZECYs9HELadHpLRQ9\nCEc2twkH4VRX6xPSl16qr353nN5tE4R0nHZy/XJjuPPdd+s7C2H0aDkGRFjEUsSbbuHqFleyMvyD\nTAiyk4P8xMSLxJuKwI+we+891t51F21sH4Ca7edCEbN+Y+JNdwzI5sZkeZG8HRXjDIDeG84+JwUn\nn0wvpIPEKhfCOIuCJ57t+KSMns9EEZVnjeHO6JEPA75srcjn4YGdTz8tRyeFRSxFvJ/Qkqi/mH54\nZZeDCzIh9OtHH1+nM8N/3z7WrlwZ3nhIp+PtiY/TzgcAwFtvsfZXv6L1hvs5CEc2Nz7rigp/3nAZ\nZVTj6p3VVR8f16Giovwhejx3HGPiC4lb59qVr/gHACs7CpAZfqwTVsS7oFBeDr+lLQtlS1J0EuZj\n4o88kj6MCP++6urwxkNzMxMrooveli2svfZa2kpEWA5O1lkIKoS0aEz8iy+ydvr0/PdQtmNg717W\nLl1K6w3HpLJEQux9UTGniByEw5dR5Q/vCcett058nELG/KxdOrkxJl7Hs8Y5pRDi8XUZTjrHmQxY\nEe8C2Z6rICJexovpt7RlnL0ZJ55IH0Y0aRJrr7xSXnkw0WeN1+c7DdHPZ4kai+jxiHoOQm0ta9eu\npT8IByGS3KVi0RM5CEcVdzSEXfSdQDq5da5dQRwxsg7OM2Fn0Y4zGm4ZsCLeBTIfFHob8TRWSm4/\nL6Vsbl2GC8+d78VUUSdeV4a/X4GD4VNDhsgLIRKdCFHEyzgLAZ9bKiVev/vjj72vFY2Jxx2Pqir6\ng3AGD2bt/ffTesOjMqeo4U5ZcUXErf9Zi3Gznc+UNO44PmueO047PjIQSxFPPUjivej52xYshEVP\nd/6DqJA+9ljWTp0qbxfg00/FvOtotMg4CwHH2fbt/iqWyEhi/upXWfvDH5p7EI5s7qBzisydRR3z\nmU0upeXWuW765UaHSKHs+MQp70PnOJOBWIp4XSEtooNEpqC14TTe16moEx8Vj4LMA82Qe/9+MXHc\nowdr//53eTkIAOIVS/JdKxoTj8CKBV5A7iVLoh1GZIKQ1hdikYyVwOE/x/T5TO9cmpTOHddxRl14\nRKdTQgasiHdBocRcRWUXoFCENP85ujwKtbViIlEFN4BYxRKZZyEg9+DB4hVLSkpoS5ny3Lt30x5o\nxl/z9NPhDQgTYpXtfJafW0aFGP5zTDcWZe5+RGXNNmHtKpQD5GxMfIRAbelFRUir4vYrpGUkB4ne\ncz4mvlAmo/p6MZGogrtHD30VS84+W5y3qMj7WtGY+CBeSgD6A81wPtuyJbwB4XdOeftt1v7617S7\nDwCFExNvggERJ3Hld81uaUlJ447Ks5apkdJpp4KUDafxByviXRBHIc1fRx1GpKYcnJ6J8OBB1p5z\njp7TLAH01e8eO5a+YkmQWGWdlSQ6d472ich+Fz0shfn++/J2H0x3iOA1jY1yztzQ5Z3ly8CKHIRT\nKOIqaJGAuBSE4K+R2efSUrFa7YWiz2QgliLexva5o1B2ID74gLU33eQtpGXHxGOyIQDArFl6vOEi\nB+HI5o7KgltU5Cy4XuEGojHxQRa9Hj30nYhcVRXegAga5tC3L+1BagAAGzey9gc/CL8LwO63WEy8\n6DgThW5veJs28RJXfrkrK5PSuU3ewc7mDgsTnrUNp4kQ7LYgDbfOF/PAAdaK1EDX6Q1XkaAzfHi8\n6nfrTHaMQvI2zy26UyKLFwBg8mTWXnKJvrMQ3nqLfhcARdU3vhH9JOa45j/o2MH2M6eUlLAyt+m0\nnIPz4jjObDhNBBGVbcGol2TDsOI//UlsEVPxcgwf7i2kZdeJx/stmjhpwjiLupBWMcZFY+JNSKDW\ntbMo+qzxHdB5FsKgQbJ2AcRi4nm89pqeJGZT3y2/3FEQdgcPpqRxR+Wem7B2ydRI77xDXxBCBmIn\n4uO6LfjSS/QDFLlWrhRbxGRyYwnDxx7Tk2TZpUu8vOEmcJu+2MvkDXoKdKE8a1Hu449n7S9+Qb8D\ngQeByTwLwc+z/vxzeZWIovCsdXIXSmWcOM8pO3eKJf3LPtMmLGIn4nUmeOoUGZs301csQc/bwIFi\ni5iK2PTu3b2vkx0Tb8JkFDdPvIodCL8x8dSLHiZ/6zgFOkpjvFMn1orsvopxJ4W5e/Zk7bRp8sKI\n/Iyzxkb6SkTIvXBheAMiSqGgvXsntXEXglMC+7x9u/nlka0nXjN0vhhLl4oNUBVx0gD0A3TUKNbe\ncYfZFUtMF5SiiIoHRxW3TgOCOgktKgu9bG4T+i06zjp08He9F4IYiwDyKhGJ9gH/vro6fQbEE09E\n+ywEne/X/v2s/da39FRW01ke+cgj6UNgZSB2In7PHn1CetcufQN0+HD6AYql1Sorxa7XsdinUqnD\nZa2amzOry6jkRRSKwCm0Rc9vTLwId3GxvCS0QstBEIXffsufx8Vj4nXHKgPQVyKSaUAEnVNEd529\n4HdOqatLZfxeGOh6v9JpZ82ePVtcp8hM5gXQVxDi1FPpnY0yEDsRL7rFqGICBqD3huNnXHxxdGK0\nqUOYEgl5/Y6rN9x6Z2m542qwmdBvHeKKr6OdD3yIVceO4biD9rm8vDAMCFFuLGl8773hKxGtX8/a\nH//YX0GIsOsm71jQdc5IZaW+wwJ1zGcyEDsRD+BvgG7aJG9rrrpa3wCN22IvKiox9rkQxJUV0vK4\nVcTEi3L74bVCmppbPCZeFjd/2JJohR/d81nv3rR5ADy36DrrhfnzWfuHP4it/c3NSQCQc6AZHha4\ncKHYZ33+OWu/9z05OqWoSOz+4XNpagp/oBlyH3OM2aG3srllIHYiXvS0RHxQhw7J25r72tei4w2P\n8svBnzIo4rmSya1fZOjZ+YhreIcuMR1Xgy2O3H6ftU5uE+73CSeENyB272ataGU1/BurqsJXIkKM\nGCH2WXifRM5EEfmczp3F7p/MHewojjMr4jVh0CB/QhqAfmsOuRct0pegE+Ua9Vi5Q6ScKMY+F9Jk\nFAUhrSKmUWa/RWPidT3vKOxyqeDW75RIGR86xV8b5XGG3M89R1+xBNcN0cpqY8emAEDOgWYVFax9\n6imxz8LKS0OG0OoUAMcD/81vRr+UqQ2niQj8DpJEQl5sn99Bsns3fYIOcj/1FL0BIUvY6fRcmTAZ\nFUpIi19unbHK1Lsf8RbS0TBUdRlsKrjffZdeSCP3Z5/R57HV1LD2zjvF1v6yMtbKONAMd5HxrJN8\nGDOGtbffHk6nBFk3scpW2APNgmqkjRujXcpUBqyIz3NdOs2SdMIgSgk6MjP8dS96IryqYuLjJDJM\n4aaOifdbq12UWwSFdr/9cscpJj6Ih1Q2t+hBOCoMNgD6REsUp127il0/dGhSGrdfUYnJy6KhiSV4\nPQAAIABJREFUo24IMs7wQLORI/XoFBnhzkG5X389vAEhA7ET8aILT1GRs03FV5cJgqCWnmj8vheC\nLrgA8moMi/Z7yRLW3ncf7Q4Afy31gstve4etHW6CdzZOnnid4sqvRxoX+KYmW0aViltWSAv+/hdf\niIsG2eMMwJ+QDrtm8p8xcmQ8C0JEYcenVy/WPvoo7S6ACken37VLtGS4asROxEcpxKJXr2hn+Pt9\nOfbsYe3q1XQhRBj7vGkT+/6662hj+4qKHIGFnl0q7kIQ0gBq+i0SE+9XSItyi8Bvn1WUUS2UZy2K\nffsAAFIwZQqtkPZ7EI4KbtGDcPC5HDok70CzK64wv2LJp5+mpHFHKYFa1oFmQfssWknHCzoNCBmw\nIt4DsrwKUdx+Pv748AZEUO4+fegTdPBeL1lCm4MA4Cx2Z54Z/eSgOMVJR8kTr4I7buMMdzBEDsKR\nye33nBEV3F//uth6wDslZK2bURhnsvqMBw4mEk4kQD4UwnwWVCPpDHeuqAhvQMiAFfEeKKRFLwph\nDmefzdoLL6TbAcDYZ5yEBw+mNyAQc+boSQ6KspAGULPYi8TER8kTr5Nb5rNet461fg/CCcvthCAl\ntQlpP6JBtgPKrpveGDkyKYWbv9/5KqshTJhTqEOOMdxZxunXQdfN6mr9Ah7AinhPmBAnHRa6Ftwg\nlTvQog6b4R/EG37ccay99VbaECIAJzmopkZPctDnn8urRGQ98bTcOgwIPAjnj3+kPVESAODAAdYu\nWqTHG+5n+1429/Dh4nOTzhCLQjAWdcelx21OMaGMqq1OExHoHKBR8IbL4o7KKYMY+4wZ/qJbmDK4\nET17svaxx/TE9jU2ysvw9zvGFyww04AQiYnXuejpFFf4rEQPwpE5n6F3UvQgHNlzSrt2KSukibmj\nsG6uXZuSwh1kTpGdQB2FZy2TW+eOjwzETsRHYSJUkeEfhSQZXTkI/LU6Fj3dyUEA9JWIkLuuLpwB\nEaZWeyEserNn01csQaNc9CAcmYteZSVrn3zSnzc87C4A3m8/ZfwKIaQlSnOpzh1sHBdRDmkxYZxF\ngduKeM2IQmwfXw4OT0QLCl3ejKjEUsquE2+CsAsi4qNayjRMrfZ//MNdAIvExGOf163TV/pv61b6\niiV4EM4dd/iPzw5bsQR3+Lp3F7te9v3u2DEp/DuFMJdGZR6XyQvgfz4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/ghkQYY1FgPBn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\n/wAb1DkALiL4kQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1061b3850>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<matplotlib.figure.Figure at 0x106061410>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from pyndamics import phase_plot\n",
      "phase_plot(sim,'deer','wolf')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Z2W5HAAAATDZkiNsRmK9OU0weOHDg5MWuixcv1v79+yUxxWQqSJUp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\nOxx4VEFBgdshoA7In7nIndnIn9nIH6Jx9Ux8WVm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EREQ+hkU8EREREZGPYRFPRNSJvPfe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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10605b250>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Exponential vs Logistic"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sim=Simulation()\n",
      "\n",
      "# logistic growth\n",
      "sim.add(\"pop' = r*pop*(1-pop/K)\",\n",
      "                initial_value=350,\n",
      "                plot=1)\n",
      "\n",
      "# exponential growth\n",
      "sim.add(\"pop2' = r*pop2\",\n",
      "                initial_value=350,\n",
      "                plot=1)\n",
      "\n",
      "\n",
      "sim.params(r=0.25,K=3000)\n",
      "\n",
      "sim.run(0,5)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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9mMfsw5+VlSWLxWLXmnOjkJAQGYahrKys4uOLxks7XpIyMzPtPkZ53wMAAODJ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       "text": [
        "<matplotlib.figure.Figure at 0x1061ceed0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<matplotlib.figure.Figure at 0x107647b50>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Damped Spring - Second-order Differential Equations\n",
      "\n",
      "When specifying the initial conditions for a 2nd-order equation, you need to specify the value of the variable (e.g. position) and its first derivative (e.g. velocity).  The simulator automatically changes the equations into a set of 1st-order equations."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sim=Simulation()\n",
      "sim.add(\"x''=-k*x/m -b*x'\",[10,0],plot=True)\n",
      "sim.params(k=1.0,m=1.0,b=0.5)\n",
      "print sim.equations()\n",
      "sim.run(0,20)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "x'=x_p_\n",
        "x_p_'=-k*x/m -b*x_p_\n",
        "m=1.0\n",
        "b=0.5\n",
        "k=1.0\n",
        "\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Vi/brrrtOBw4cOO7bbNiwQYMHD67xoGIlLS0tqvWjfv1MO2+eNHo0uXYAAAA/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\nAwAAADb3f4y1Doj6YpzAAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1072e37d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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8/7Ps7OzT37D8KDe3Yi73uuukt9/2bjw4u6pW2M91Qozf56afnWvlvbxIxJyy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\nR2gHAAAAbI7QDgAAANjc/wEPRiTzAMgWvAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1072b8e10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<matplotlib.figure.Figure at 0x106772750>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Vector Field Example"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sim=Simulation()\n",
      "sim.add(\"p'=p*(1-p)\",0.1,plot=True)\n",
      "sim.run(0,10)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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v4M3kjs/cf//9Fq8E/oaTA1q7/nrp9GnPOBiPjKQuYIS6gBHqAmay/BQa9w67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\nSUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10605bb50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<matplotlib.figure.Figure at 0x10679cf50>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Arrows scaled by the magnitude..."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from pyndamics import vector_field\n",
      "vector_field(sim,p=linspace(-1,2,20))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ypBk1apSZM2eO2b59u2v3U11PPvmkadCgQbnn6Qc/+IEZM2aMWbJkiSkoKPBs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\nnbr//vsVGRmp2bNnV/0gYJ0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zptYLJycna/PmzcrLy9NVV11V7rri4mLt3LlTkZGRSkpK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\nPgAA1IiBDwAANfIbMCG3+UXQjuoAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1072dea50>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Arrows rescaled to constant value..."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "vector_field(sim,rescale=True,p=linspace(-1,2,20))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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szjjjjIhziXb13hgLC/zf/va3xufzmccffzzs7RMnTjQ+n888++yzMR/nJz/5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\nAABMhAIfAAAAMBEKfAAAAMBE/gb6rb6MU7MBpQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1061d10d0>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## The Lorenz System\n",
      "\n",
      "[http://en.wikipedia.org/wiki/Lorenz_system](http://en.wikipedia.org/wiki/Lorenz_system)\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sim=Simulation()\n",
      "sim.add(\"x'=sigma*(y-x)\",14,plot=True)\n",
      "sim.add(\"y'=x*(rho-z)-y\",8.1,plot=True)\n",
      "sim.add(\"z'=x*y-beta*z\",45,plot=True)\n",
      "sim.params(sigma=10,beta=8.0/3,rho=15)\n",
      "sim.run(0,50,num_iterations=10000)  # increase the resolution"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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BG+ICNsQFColEP4HuJvr+pNT04O+yi7v/m99krtE3ib7pjTf156++mn3hrvHj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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10679a8d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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uh5pbuBAXcCEuUEgk+jloS6JvE9qyMr/33vZ219dnHowbnK1Hkj7/ebM8++zs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\nApFEow8AAADEIWb0e4gZfQAAAEQDM/oAAAAAQqLRB3qB2Uo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t1Weffabx48dry5YtSk5O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\nSUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10679ab10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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yslKSU6bdUjKqRn3WrFmaNm2aBg4cqCVLlqhLly5NOn/+/Pk666yzdNppp2nB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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10678bf50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<matplotlib.figure.Figure at 0x107685710>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "phase_plot(sim,'x','z')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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m2e6gZ288FBVlXVpuuw1uvRUqVHBunCIi4jwF6hLSkpKSiIuLc3oYEmB8OS8y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\nWVCkCHzwAXTrlnTeHusSulR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BVmqqjXnKFHsD4N75MywMbrrJSnK6drVgzt+y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6Mb5tWryHBfv45GOZqVoF68vBDo58+Pqw8lSqDgt0QJ3EqXhnzDlQ6cKcXFi5CZrFyp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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107672e90>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "phase_plot(sim,'x','y','z')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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/R6xCslrHGEmqWVQumUwW/jsSiRSKX+qFWiSV4aesyrJc0nPUC0mtBVaAkEql\nilqcxePxulpS1w7VFHRVir5pc2EbcZ81Kk7lwzJEUWzac0FVgQ0bwnjkEQErV/KQpPy2DxqkYP58\nEbNni+jTJzjpWVawmm6irRlRVRVvvfUW7rvvvsLrw+Ewzj77bAwfPrzon5NPPrnmWbYnnngCc+bM\nAQA8+OCDuOGGG0pe89Zbb+Hee+/F5s2bkclkMGTIEMyfPx+LFi0K1CwfyWodYkVSWVW5Fj/lqFpR\ndEJS/cQo7YLjuMKSr15hd/8brZTVyJJaiVrERdvZgQmsWZpOo9Io21lNKgFDFEXDc6FeVmGqhqNH\ngSefbMETTyTw6af563U4rOKqq0TMny9i8mTZ1dxUP9CfI2xmShAE8DyPMWPG4Oabb8bu3bvx8ccf\n4+9//zt27dqFXbt2Fb3PmDFjsH379qrHceDAAdx4443o1q0bOjo6DM+tV155BdOnT0cikcDMmTPR\nq1cvrFixAj/84Q+xadMmPPfcc1V/vtME/25PFLAjqdqLIgB069atqH+l19iVJTck1cvIqlEBG+s5\najTlGBRYJFW/nGssFqvqRqr9G3bONgpO5ECydmrNVNDViNtVLpWgs7MTQP77z67hQH2twmQHVQXe\neSeEhx+O4KWXuiGbzY/9hBMUfO97IubMEXHCCY3x8GIFdr9hDybnnXcezjvvPADA3r178etf/xo3\n33wzPvjgg6J/Tj311Jo+c968eejbty+uueaaokguI5lMYuHChRAEAevXr8eYMWMAAHfffTcuvvhi\nvPDCC3j22Wcxc+bMqsfhJCSrdQCbjpVl2VRSRVEsrHnPiEajhb/z+2JnVRTNuhQ4EUn1QlaNxs/S\nLlRVRTKZDGSUye/+rkHJJ3YCKzmQ+qlBKuhqTLTHis1K1EMD+2pIJoFnnxXwyCMCPvwwf+5znIrJ\nkzOYNy+HK6/kUAeTYY5Trojq2LFj6Nu3L8aOHYuxY8cW/a6WnuC/+c1vsG7dOmzYsAGvv/664Wte\neOEFfPnll5g7d25BVIH8eXrvvfdiypQp+P3vf0+ySlSGSao2yqUVB/Z77XQtUCwZ7e3tBcn1k0oy\n4qak6nFjX5STVCYtRg2ovcJs/xt1JQj6IgT1ilZimZBEo1GEw2HDdkpU0FX/GF1rqm2tZbWBvdff\n2507Q3jkEQHPPSegszN/Hvbpo2DOHBGzZnXgpJNyiEQi4Hn/ZvaCSjKZNF1qtdqZ0N27d+P222/H\nLbfcgglJmhWgAAAgAElEQVQTJpjK6htvvAEA+OY3v1nyuwsvvBDxeBxvv/12IYXBb0hWA4iRpOqn\nU1kkVfsalpOqvVgFJWJlNg4vJdWNG7qddIWgHAvA2/6u2mhS0KJBfqOd9tVSa79HVolO+zo4WOk/\nXC99glMpYPlyHg8/HMH27V0zCBMnSpg/X8RVV0mIRIBMRoEkNWbqh1XKRVbb2tocXb1KkiRcf/31\nGDRoEJYsWVL2tXv27AEAnH766SW/C4fDGDx4MHbv3o2//vWvGDp0qGNjrBaS1QBhVVK1LYRYTmE0\nGjWUjCAJkhYvJZXh5L6ot8Iv7bZ3dnYW7fegdyVoRpyqRA9C5I2oDbdba9kRyT17Qnj4YQFPPy2g\nrS3/d8cdp+Lb384XTA0dWizO1Ee0sqyaRVar4e6778Z7772HTZs2VVwVq62tDRzHmX5+jx49oKoq\njh075tj4aiF4d9UmpBZJrVT4EhRZZeNQFKVElrySPCf2Rb32edUX9QD12cKsmak0fWwkLX5F3vQ0\nq7S4ud1uPtBo70HZLLByJY9HHhGwcWPXNe7cc2XccEMO11wjIZFwfPOagmQyiZNOOsmR99qyZQt+\n8Ytf4Mc//nGhgKuRIFn1EfZUXE5Sc7kcMplM1X0ugyKr7PO1Uu7logS1wiQ1m80WtiXIkVSGmVwn\nEgmS1AbByvSxfoGDei3iIcrjVCoBABw4IOCJJxJ4+ukYvvwy/34tLSpmzhQxb56Is88u/Rs9zfqQ\noqXcPkgmk+jZs2fNnyFJEubMmYOhQ4fiZz/7WdlxMFjklC3Jrke7VHsQCO5dtoFh7Uq0Amokqfpl\nLdl0v50vvt+yatRn1C9JrWZfqKpakD32dzzPIx6P204697p1ll5SGd26dfP05qHNWWXo21j5fZ42\nItrIGztXjSJvrACzUhFPI/cDbXQqpRKwf3I5Ba++yuOPf0xg/fpY4XVnnilizpwUpk/PoEePvAyL\nIhX4VaLS9axcgZUdOjo68MknnwDIF8gasXDhQixcuBA333wzli5diqFDh2L79u3Ys2cPRo8eXfRa\nSZKwf/9+CIKAU045pebxOQHJqodYkdRsNotMJlMkqbUsa+mXBBhJKhtPt27dPB2L9rMBa/vCSUk1\ne383LvBG42YRYO0qZkRzUkvkrdH6gXpB0COLTGKPHOHx2GMCli0TcOhQ/tyIRlVMnZrFnDlpjBmT\ng6rm70myDMtR+aBvv9to7zVuFljFYjHccMMNhp+xfft27NixAxMnTsTQoUMxbtw4AMCUKVPw1FNP\n4dVXX8WsWbOK/ubNN99EOp3GRRddFIhOAADJqiewJdeYgHohqQyvZdUskhqJRNDR0eHJGKxgJotu\nSqrbOYHZbBbpdNp03PqqfIJgmEXejAS2mvxHIngoCvDGG/klUFev5iHL+eN02mkK5s/P4TvfEdGr\nF5DXBL4oKq9PKzGLyjO0S802Y4Gf2XcgmUw6JqsPPvig4e8WL16MHTt2YO7cuZg/f37h5zNmzMBt\nt92GZ555BosWLcI555wDAMhkMrjjjjsAAD/4wQ9qHptTkKy6BPsCV5JUvRiFw2HEYrGaJZXhlaya\nSSor4DHKifKacvuznKTyPO/YDddpYTSS1HA4jEQi4ei4a0F7DrLvhCzLReukE8HErK2WmbSU6w3L\n/laWZTruPvLFFxyeeELAo48K+Oyz/HHheRXTpuUr+idOlGF0aLRReW0KV7moPEO71GwzReUrRZbb\n29sd7QZgh9bWVjz44IOYMWMGJk2ahFmzZqFnz55YsWIF9u7di2uvvRbXXXedL2MzgmTVYdgTJutf\naVSkYCapLArm5JfWbVmtJKlG4/AzsqeXxXqQPSOM8pornUNGuaNeIooiOjo6SmRGf6NSFIUKewKM\nVWlhIgsUd6NIp9OF9zHKhW2k4x6UaXBVBd56K4yHHhKwYgUPUcyPZ+DA/BKo118vol+/6q4L5fJh\ntUvNetFaK2hUOv6Korhe6FpuH1599dXYsGEDfv7zn+PFF19EJpPBkCFDsHTpUtx0002ujssunEoV\nDY7ALtSSJBVaM8ViMSQ0PT0URSlM97stqQxZltHW1oZQKORoVZ9RU/lKrZD++c9/AgB69uzp2wXo\nq6++gqqq6NGjR6EdmFfHAsgvr6coCnr06FHVRcqs+C6RSFQcd62fXQ2s2lQrK0xK9NEXPfocuEaK\nvrA2dPXSDaNatFPE2gf4cjMtemGp5+MuSRIymUzh2uI1X30FPPNMfgnUPXvy3/lQSMVll8mYPz+H\nb3xDhluXAq2strS0FD0sG0VizajnZYfLHX9VVfFv//Zv2LhxY11si9807lXSQ5hAsIiQdsoLMK7M\ndmOK2QinI6vVSKp2LH5HVhnJZNJTSa0Vo167TuU1uwUbrzYNhp3zkiQhFAoV3bj0xXjV9IQkggU7\nNuzawB6s7LZSaqap41pRVWD79hAeeSSCF1/kkU7n91H//vklUOfOFTFggLcxKnacnGytVQ9dKipF\nVunaZR2SVQcw+yIqioJUKmUoqV5V2Dklq7VIqnYsfk1Ds+l+9tmqqvoiqXaPh5mkBrmNmSRJSKVS\nJQUXLS0tiEQiRQKqnUJksspmI4zaK5nduBo5CtuIlJs61i9uUEtDe7/xMg2gowN4/vl8FHXnzq79\nOnlyfgnUyy+X4GVht51tt9paS59aEvQuFeX2AQtuEdYgWXUIfU4qUJxULggCYrGYr20gqoloOiGp\nfmI0bQ4A8Xi84upffsMkVbtohJ0FIbxGlmWkUqmiQopYLIZcLgdZli2P2U70hckLNblvDDiOK0mL\nqLagy+jYNyIffJBfAvW55wS0t+e3sVcvBbNnS/je93I47bT6zfQzkthyqQRBe6gpFxhob2/3rY1j\nPUKy6hAcxxXyU/xYSrTcuBh2ZNVIUmtdQ97LNlpmuZ1A/onWr+IpK/tAH5lk0lerXLu1/43OFTbe\nfPNw0ZHPsXrjstLkvllEphGotqCrXCqBNhe2Ho99KgW89BKPRx+N4J13ur4PF1yQj6JefbUEk97w\nnuFWVLncw2w1DzVGRV1OY/SeyWQS3bt3d/yzGhWSVQdQVRXt7e0lOXehUAitra0+jaoLO9Pvbkiq\ndhyAu7JqJqkst5NVo/tdV2j0+ZIkIZ1Ol0QmgxoBVhQF6XS66LyPRqOIx+NFNxI3j3s1UVgzkaEo\nrHu4IS61RN20D1BuCovT2/3RRyE88oiAZ58V0NaWf8/WVhWzZuXbTg0b5n+LQL+w+lDjZX50uePv\n1IIAzQLJqgNoT8QgNsC3IqtuSqp2HIA70lJJUoMiHUbj0E+fA8WRSac/u9b9b1QwGLTUkGpEhqKw\n9Y9TBTxByn00i6Kec46MefNETJ8uoqXF82FVJChtu5zKj64mMl9JVv3qsVqPkKw6REtLS0Hs2IXP\n7+gdo5ykeCGpVsZRLXar5L1MRTBC+/lm+14fmQwKRv2Bq0lzKVcZ62a3CCejsI3eH7TRqFTAo5eW\nIOQ+GkVRu3dXcd11Ir73PREjRzZvFNUJKuVHVxuZt3pOUGTVHiSrDhHEBvhG42Gw/FovJLXcOKql\n2ip5v2WVkc1mCz0IgeBLqtFSrmzhhHrHySIOisLWF1aOPRPZagq67EYXy0VR58/PYdo0KZBRVCOC\nElm1g1OReaC4nzB7rXZfJJNJiqzaoP7vNAFBexJWW9TkFtrP90NSncSpVk5+yKo2YsemnL2cPrcr\n6kapFdWs7hWUBwQ7uB2FJYKLk8eewX5vFnH78MMQHn2UoqhBpVJk3qzIj5HL5ZDL5fB//+//xeef\nf44zzzwTAPC1r30NuVwOkUjEu42pU0hWXYI9VQXhBs0ujlrBA7yP5tUiLUaSWk0rJz9EwSjHMxwO\no1u3boF8QGD7OpVKFUlq0BdO8AKnorAMSZIKYtTM+7UeqObYMyRJKjygsoeWTCaEFStiWLYsinfe\n6boVn3uujHnz6iuKakQ9RlbtUumcYNd8FmV/88038fe//x2vv/564fV33nknTj/9dIwYMaLwz7hx\n49CnTx/L47jtttuwbds27N27F0ePHkUsFsOAAQNw1VVXYdGiRejXr1/htZ999hlOOeUU0/eaOXMm\nnn76aTu7wRNouVWHkGW5qECjra0Nsiyje/fuvk6VSpJUsh67X1PO6XQa6XS6ZBnacjglqbWMoVqM\nJJU9xMTjcc+XX2TLACcSCcQM+tqwIqNUKuXoKlkdHR3I5XJoaWlBNBqFoijI5XIl519nZydUVUUi\nkQhkOoRdrEiMlkbOhRVFEdlsFjzPG557jQYTlkwmA0VREAqFCj/bvZvHE08k8OKLcSST+fO8tVXB\njBkZzJmTxciRakNE4bPZLERRhCAIiEajfg/HF1ihdcu/njr27t2L999/Hx999BHefPNNHDp0CAcP\nHiy5Jjz33HO49tprLX9ONBrFOeecg7POOgvHH388Ojs78fbbb2Pbtm3o06cPNm3ahCFDhgDoktVR\no0Zh6tSpJe81fPhwTJs2rdpNdg2KrDpE0Ap59G2QgHx0rLW11TcRsLNPmDjpm+I71crJ7fZZZoVI\nuVyuSF6DgpsLEPj9XfALs6lD9hDDJIb9rFJRD6US1A/aVAJFUSCKAv70pzgefVQoiqKOGZPDd7+b\nwtVXZ5BI5L8f2g6IjdBSrZ7G6iT66x3HcRg6dCiGDh0KAFi0aBEefvhhDB48GB999BE++OADvP/+\n+3j//fcxatQoW5/V3t5umEpwxx13YMmSJfjlL3+Jhx9+uOh3o0aNwp133mlzq/yDZNUl/LpBm0mq\nLMsQBMHXiJXVfWIkTk5JqpsXTiNJ1S+vy45LUMQtSL1drbRYawS0shmJRMDzvKUCDrNlJeu9wX0j\n8+GHISxb1r0oispyUefNEzFihAJVDUFV4yW5j5UWtgj6A0yjf48rod1+o2OTTCZx3HHHoaWlBV//\n+tfx9a9/verPMst5vfbaa7FkyRIcOnSo6vcOCiSrDuF3ZNVIUtl0fy6XQyqVCszFw2wcbkoqw632\nWfpq+WoKkdymUtssN3q7VhoLkadcFLaaNjpBlphGh1X0P/JIBFu3di0Kc+65+Yr+a64pzkWtpQLd\n7AFGu7iB38ff78/3G7PtZ7LqJitXrgQATJo0qeR3Bw8exB/+8AccPXoUvXv3xrhx4zBixAhXx1ML\nJKsu4ZWsGkmqXjqCMg1r9qX1QlL1Y3CqfZZRtXy5QqQgHAs2ZoZXOcx+n3/1CBMPLRSFDSZGFf2t\nrQqmTUvjhhtkjBplb3/X8gCjxcvesFqaocCqHJW2P51OO163cN9996GjowNtbW3Ytm0btmzZggUL\nFuDWW28tee2aNWuwZs2aop9NmjQJjz/+OAYMGODouJyAZNUl3JYSK5Lq1Visoh+H2RR0NBoNdIFN\nNZLqN1qBYTczr9pmBXF/1DPl2uhUWpHHrJm5VmIJ6xRHUbuOx9e/nq/ov+yyJOJx5V9S4sz3zOwB\nxmiBg3J9QPW5sHT8ncWKrDt9n/vVr36FI0eOFP5//PjxmDVrViENDcgXe915552YOnVqoSvAzp07\nsXjxYqxbtw5TpkzBe++953oBsl1IVh3CLA3A6CJRC3YkVT+WoMiqoihob293fXnRcmNwqn2W3Wp5\nr48Fy6PVRlJDoRBaW1t9bZsVhP7DjQbHGa/IY6eZuVtR2EaLsn34YX51qeeeK+6LOnNmvi/qiBH5\n/ZpKAQ7fAgzRphJoz4FyfUDLLSnqREeKRjvmTuLW9e/w4cMAgC+++AKbNm3C7bffjksvvRSPPfYY\nZs+eDQDo27cvFi9eXPR3EydOxGuvvYYJEyZgy5YteOihh3DTTTc5Pr5aIFl1EFYgAnQ9MTklJdVI\nqnZcTo6lWrTNktl/e5knCVS3L5yQ1Fo+vxqMir1YZbIgCL73d6UbmDdQFNY5Uilg+fL86lJGUVR9\nLmoQcKovMB1/+1SSdTcf2Pv27YupU6dizJgxOP300/GjH/2oIKtmhMNhLFiwAFu2bMFf/vIXktVm\nwSkpEUURmUympiik37Jai2j7jZstndzAqNiLdSSQZRmpVMrzMenPP7P95vd52kyYRWGNJNbrKGyQ\nUFXgvfdCWLZMwPPPC0gmzaOoxn8fvOhiLQVd+vcxy4dl78de14yU237Wf9ZtBg4ciDPPPBO7du3C\nkSNHihYHMIItRKBdCjwokKw6iDayWuuNVy9JQPWC52cbLf3Srgy/8mH8bp/l1rGwkkdrtoqS17Cb\nH0VngkU5iak1CltvfPUV8PzzApYtE7BrV31EUWullii8Fnbs2TVOUcyXmW1W2tra0KNHD08+69Ch\nQ+A4Dt26dav42s2bNwNA2RWu/IJk1SWqlRInJbXWsVSLUVukaDSKWCyGtra2wlj8uHhV2hdB6jtq\nBTspCn5HLlnUV9tGTSs1FFENJk5EYRlMbIPSVkmLqgIbN4bx+OMCVqzgkcnkx9arl4Jvf1vCnDki\nzjzTgwTUgFHu+Fsp6GKLoDRbQVe5yKqTsvrJJ5/g+OOPL3k/RVHw05/+FF988QUuvfTSwipa7777\nLkaPHl0yrrVr12Lp0qXgOK5iyoAfkKy6hF0xcENSjXBTEs0k1Y+lXe3iVaqCk8KoP2dCoVChm0IQ\nbwK5XA5Z7fI86Mpf1p732WwWkiTV9ao9jU6lqWS9xDIURSk6B/TywiTWSz7/nMNTT+WjqH/9a9f2\nTJ4sYe5cEVdcIaHa1UIbdSrcSkGX/rterqCrEVNJyh37ZDLpmKyuWrUKP/nJTzBx4kQMGjQIvXv3\nxpEjR7Bhwwbs378fJ598Mh544IHC62+99Vbs27cP48aNw4knnggA2LVrF9atWweO43DPPffg/PPP\nd2RsTkKy6iDVRLGMpptZFNIpSWJffvY07PSFoFwkVT+l5OY4rKA/Ln43x68GSZKQSqVs59H6EVll\na8Kzz2VRX3b8tVLDtsds1Z5mi8zUI2YFPdoHEI7jbOVCuhGFlSRgzZowli0T8OqrPGQ5/94nnKBg\n9mwRs2eLGDSIIv12Ycc/FAoVvvctLS2WCrrMUkn8eoiplXKyeuzYMccWBLjkkkvw6aefYuPGjdix\nYweOHTuG1tZWnHHGGViwYAEWLVpUlAIwZ84cvPTSS9i6dStWr14NURTRv39/zJw5EzfeeCPGjx/v\nyLichmTVJbRiYCRmXkiqfjxsLE5hR1LdHEe1dHR0eB4FrkUYWYGU9qIej8cDmaJgFKnmeR6trfkV\nfXK5XMn0IktlYOkL2nY7gHFkphFuao2OVjR5ni8sDWkWhbXa3L6aY71/P4c//lHAk08KOHw49K8x\nqbjqKhFz5oj4xjdk+Nwoo+HwqqCrnnAysjps2DD89re/tfz6+fPnY/78+Y58tpeQrDqIUWRVC4sY\nGRXuuN0I38momizLyGQyRdM8VhvMByFvksFEtZJg+009RX+NxioIQlGeotmxZ+cGx3FFlbJGrXbY\n2ul+ReaI2qnUVslKc3srApPJACtX8li2TMCGDV23vNNOUzB3bg7f/raE4493/nqkPc+b7dyzkv5Q\nrqCrloeYoKQSeJWz2iyQrLoIuzGzG6sfkqodC1CbJCqKgnQ6XZWk+o2iKIW+owxBEJBIJDwdu53j\nYLS/a4n+uvmgYDRWJtSiKEIUxao/10pkRi821CuyPqmUC2lVYDguhA8/jOCZZ2J44YUojh3Lnzux\nmIprrsnnol5wgQw6/MGj0kOM9jwoV9CnX9zA6+97pZzVIUOGeDaWRoBk1UH0JyWT1c7OzsLF1GtJ\n1Y+tGmFwUlK9jqwaSSrDa1HVUm77jcYc1IcCP8eqvamxSGy1kTknVuwh3MNqFPaLL1QsXx7DM88k\n8NFHXdH54cNFzJ6dwrRpOfTsyf1rgYz6nUYOOk4XltlJJWD32iD3Bk4mk47lrDYLJKsuwKb7tcva\n+d0CqRpJdCOS6pWsGq3gJAgC4vE4Ojo6TFvruE25Y19uzPrWMbV8thP73u2xVotTkTm/ozKNhhtV\n8exYK0oI69dH8eSTAlat4iGK+c/o2VPBjBkZzJyZxllndaWlaNKoARhPIzsRSGjUTgBBwkoUtpqC\nLifOAUoDcBaSVQfR9rzUVjNHIhG0tLT4etGyO/1sNGXuhIi4LatGEsVWcGLRN7/zZhms8I5VS+tX\nnUokEr6KnxFGiw/o96+eIOxvs5ua3QIPI4ElGfGHffs4PPmkgKee6iqWCoVUXHKJhOuvF/Fv/8Za\nTkWgqoLjubCEOX6KehAKuipd6yiyap9g3QnrnFwuh/b2dgBdJ7osy4UVhPzEijC4Kal2xlENZsJn\nJFF+ypP2PDASv3A4XJBUp8+ZWrZb+yDGopD6FbLqDbMCD6MbGrup6VtqkdR4S0cH8PLLPP74RwFv\nv911TTrlFAXXXy/i298WccIJped3pYh7NXnPTkZhCfepVNBl9Ryw8tBaqbiura0NPXv2dHgLGxuS\nVQeJRqMIh8OIRCKIxWJIpVKF4iq/KSc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UXqla3JRpN2j0NAImqC+/nJ/i//jjrnOlf38F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\nPwVQU6xKJzsBQiXV4XCgqalJc+8see76+vqAJftE9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RLLfk0kAUvyxcUjZ6VDEnieR3l5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       "text": [
        "<matplotlib.figure.Figure at 0x10766c890>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 14
    }
   ],
   "metadata": {}
  }
 ]
}